After the math contest, Basil noticed that there were four extra-
large pizzas that were left untouched. In addition, another three
slices of pizza were uneaten. If there were a total of 51 slices of
pizza left, how many slices does an extra-large pizza have?
MATH
CONTEST
3:30
RM
105
EX PIZZA
EX.16. DIZZA
XG. PIZZA
X LG PIZZA
14
12.
15

Answer:

f(1)=65

Step-by-step explanation:

Answer:

If Ron works 8 hours a day and get's paid $15 an hour

for 5 days a week and works for 12 weeks

1 hour = $15

8 hours = $120

So Ron get's paid $120 a day

So if he works 5 days a week then

120 x 5 = $600

Ron get's paid $600 a week

So if Ron works for 12 weeks then

600 x 12 = $7,200

Ron's gross pay is $7,200

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

2^3 will be coefficient so 8

Answer: 3/10

Step-by-step explanation:

1/5 isn’t equivalent to it

Answer:

Just random ones?

1/2, 1/3, 1/4, 1/6, 1/7

Step-by-step explanation:

Answer:

sin 68 =70/w

sin68(w)=70

0.927w=70

w=70/0.927

w=75.51

Answer:hmm 30c - 24d = 6d or 6c

Step-by-step explanation:

Answer:44.767=45

Step-by-step explanation:

sinR=

71

50

​

R=\sin^{-1}(\frac{50}{71})

R=sin

−1

(

71

50

​

)

R=44.767\approx 45^{\circ}

R=44.767≈45

∘

Answer:

45

Step-by-step explanation:

Correct method to factor this expression are:

Factor by grouping.

Factor out the GCF.

A number or other mathematical object is factorised or factored in mathematics by expressing it as the product of numerous factors, often smaller or simpler things of the same sort. The four primary methods of factoring are the Grouping technique, the Difference in Two Squares, the Sum or Difference in Cubes, and the Greatest Common Factor (GCF). Numerous issues might be resolved by using the factoring of integers. Similar to this, factoring is an extremely effective method in algebra that is utilised at all levels. It offers a common approach to simplifying complex statements as well as, of course, solving quadratic equations.

The equation becomes:

= 4x² - 26x + 30

= 2 (2x² - 13x + 15)

= 2 (2x² - 10x - 3x + 15)

= 2 {2x (x - 5) - 3 (x - 5)}

= 2 (2x - 3) (x - 5)

Thus, the two methods are the best choices to factor this express are:

Factor by grouping.

Factor out the GCF.

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Answer:

b. P = 56,382(1+0.012)^t

The equation that defines the population in Smalltown t years after 2010 is [tex]P = 56,382(1 + 0.012)^t[/tex]

percentage, a relative value indicating hundredth parts of any quantity.

The population P after 2010 is an exponential growth function of the form:

[tex]P = P_{0} (1 + r)^t[/tex]

where P₀ is the initial population,

r is the annual growth rate as a decimal, and

t is the time in years.

Byu given information P₀ = 56,382,

r = 0.012, and

t is the number of years after 2010.

The equation that defines the population in Smalltown t years after 2010 is:

[tex]P = 56,382(1 + 0.012)^t[/tex]

Hence, equation that defines the population in Smalltown t years after 2010 is [tex]P = 56,382(1 + 0.012)^t[/tex]

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Answer:

um function

Step-by-step explanation:

3rd

bubble

?

Answer:

58

Step-by-step explanation:

first we want to write an equation and that equation would be

2500=40x+160 now we solve for x

step 1 subtract 160 from each side

2340=40x

then we divide each side by 40

x=58.5

because he cant bring half a box he can only bring 58

Answer:

$954.78

Step-by-step explanation:

Since it increases by 8.5%, all you have to do is multiply 879.98 by 1.085.

879.98 * 1.085 = $954.7783 = $954.78 (you always have to round to two decimal places with money)

Answer:

Step-by-step explanation:

Multiply all terms by the same value to eliminate fraction denominators

36/x=8/7

x times 36/x=x times 8/7

Cancel multiplied terms that are in the denominator

cancel both x’s for you should have 36=x times 8/7

Combine multiplied terms into a single fraction

36=8x/7

Multiply all terms by the same value to eliminate fraction denominators

36=8x/7 so you multiply 7 times 36=7 times 8x/7

so you simplify so you get 252=8x

then you Divide both sides of the equation by the same term

252=8x     252/8=8x/8 so you get 63/2

so your final answer is x=63/2

I hope that I helped you have a nice day or night!

Answer:

the total amount collected is 2,665

Step-by-step explanation:

The computation of the total amount collected is shown below:

= price × number of tickets sold × price + number of tickets sold × price + price

= 14 × 15 × 10 + 56 × 10 + 5

= 2,100 + 560 + 5

= 2,665

Hence, the total amount collected is 2,665

Answer:

Adele is not correct.

Step-by-step explanation:

The statement in itself wields an incorrect answer. However, when she states "sixty-two hundredths" it is further proven incorrect. This is because the 0.062 part of the total 0.462 would be pronounced as 62 thousandths.

Therefore, Adele is incorrect. The correct answer, however, would be: "Zero and four-hundred sixty-two thousandths."

The total number of cups required to make the recipe for 50 people will be equal to 8.3 cups.

The four basic mathematical operations are the addition, subtraction, multiplication, and division of two or even more integers. Among them is the examination of integers, particularly the order of actions, which is crucial for all other mathematical topics, including algebra, data organization, and geometry.

As per the provided instructions in the question,

The recipe is for 6 people in which 1 cup of sugar is required.

Total number of people = 50

Cup of sugar required for the recipe = 50/6 = 8.33 cups.

It means that 8.33 cups of sugar is required to make the recipe for 50 people.

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Answer:

Relationship is proportional ;

8 oranges

Step-by-step explanation:

Oranges (lb) 2 ___ 3 ____5 ___?

Price ($) __ 3 ___4.50___7.50_12

For proportionality :

Oranges = k * price

Where, k = constant of proportionality

2 = 3k

k = 2 /3

k = 0.666666

Using k :

Number of oranges at price = 4.50 should be:

0.66666 * 4.50 = 3

Number of oranges at price = 7.50 should be:

0.66666 * 7.50 = 5

Hence, relationship is proportional

Number of oranges at $12

0.66666 * 12 = 8

Answer:

- 4, - 3, - 2, - 1, 0

Step-by-step explanation:

Given

- 2 < n + 3 < 4 ( subtract 3 from each interval )

- 5 < n < 1

This indicates that n ≠ - 5, 1 but all values in between, that is

n = - 4, - 3, - 2, - 1, 0 ← possible values of n

Answer:

i dont know :(

Step-by-step explanation:

i dont know :(

Answer:

cos theta=-1/2

theta=cos-¹(-1/2)=120

tan theta=tan 120=-√3

sin theta=sin120=√3/2

cos(- theta)=cos theta=cos 120=-1/2

Answer:

Try adding the percent of 5.

Step-by-step explanation:

(5 percent off 19.00 is 18.05 The difference is 0.95)

It might be ADDING in the situation

cause 19.00 + (5percent) = 19.95

Why: I think its adding a percent of 5

Because clue content.. And the clue was (total cost with service fee)

(total) is one of the context clues for addition or adding.

and it adding service fee.

so it wants an addition of the total cost with service fee.

HOPE I HELPED

Answer:

1. l= A/πr

2. T = PV/R

3. T = 100l/PR

5. t = v/u + a

Answer:

i'm pretty sure its c

Step-by-step explanation:

have a great day!!

Answer:

The quadratic equations and their solutions are;

9 ± √33 /4 = 2x² - 9x + 6.

4 ± √6 /2 = 2x² - 8x + 5.

9 ± √89 /4 = 2x² - 9x - 1.

4 ± √22 /2 = 2x² - 8x - 3.

Explanation:

Any quadratic equation of the form, ax² + bx + c = 0 can be solved using the formula x = -b ± √b² - 4ac / 2a. Here a, b, and c are the coefficients of the x², x, and the numeric term respectively.

We have to solve all of the five equations to be able to match the equations with their solutions.

2x² - 8x + 5, here a = 2, b = -8, c = 5.                                                  x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(5) / 2(2) = 8 ± √64 - 40/4.     24 can also be written as 4 × 6 and √4 = 2. So                                                                                     x = 8 ± 2√6 / 2×2= 4±√6/2.

2x² - 10x + 3, here a = 2, b = -10, c = 3.                                                   x =-b ± √b² - 4ac / 2a =-(-10) ± √(-10)² - 4(2)(3) / 2(4) = 10 ± √100 + 24/4. 124 can also be written as 4 × 31 and √4 = 2. So                                                                              x = 10 ± 2√31 / 2×2 = 5 ± √31 /2.

2x² - 8x - 3, here a = 2, b = -8, c = -3.                                                    x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(-3) / 2(2) = 8 ± √64 + 24/4.     88 can also be written as 4 × 22 and √4 = 2. So                                                                             x = 8 ± 2√22 / 2×2 = 4± √22/2.

2x² - 9x - 1, here a = 2, b = -9, c = -1.                                                     x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(-1) / 2(2) = 9 ± √81 + 8/4.                                          x = 9 ± √89 / 4.

2x² - 9x + 6, here a = 2, b = -9, c = 6.                                                    x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(6) / 2(2) = 9 ± √81 - 48/4.                                                                             x = 9 ± √33 / 4 .

Step-by-step explanation:

Answer:

0.3

Step-by-step explanation:

Answer:

0.33333. it goes on forever.

Answer:

see explanation

Step-by-step explanation:

sinA = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{6\sqrt{3} }{12}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex]

cosA = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{6}{12}[/tex] = [tex]\frac{1}{2}[/tex]

tanA = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{6\sqrt{3} }{6}[/tex] = [tex]\sqrt{3}[/tex]

Answer:

first choice

Step-by-step explanation: